Tania Hird has asked for her family's privacy after her husband James was rushed to hospital on Wednesday.
The Essendon Football Club has also thrown its support behind the troubled club legend.
Hird was rushed to hospital on Wednesday night after suffering a major health scare.
Tania Hird released a statement on behalf of the family on Friday, saying they were appreciative of the public support.
"We wish to express our appreciation for the public support that has been given to James and our family since news of his hospitalisation became known," she said.
"At this time James and the Hird family are in need of privacy.
"We ask that this privacy be respected.
"We particularly ask this of the media contingent currently gathered at our house.
"James' health is our primary focus and concern.
"We will making no further comment."
The Bombers said their thoughts were with the former coach, who was in charge of the club during the now infamous 2012 season.
Essendon chairman Lindsay Tanner called on the media to respect the family's privacy.
"On behalf of the entire Essendon family our thoughts are with James Hird and his family," Tanner said.
"This is a personal and private matter and we ask the media to respect the privacy of James and his family.
"The club will continue to offer its support to James and the Hird family."